-13-4n=2+5(8n-3)

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Solution for -13-4n=2+5(8n-3) equation:


Simplifying
-13 + -4n = 2 + 5(8n + -3)

Reorder the terms:
-13 + -4n = 2 + 5(-3 + 8n)
-13 + -4n = 2 + (-3 * 5 + 8n * 5)
-13 + -4n = 2 + (-15 + 40n)

Combine like terms: 2 + -15 = -13
-13 + -4n = -13 + 40n

Add '13' to each side of the equation.
-13 + 13 + -4n = -13 + 13 + 40n

Combine like terms: -13 + 13 = 0
0 + -4n = -13 + 13 + 40n
-4n = -13 + 13 + 40n

Combine like terms: -13 + 13 = 0
-4n = 0 + 40n
-4n = 40n

Solving
-4n = 40n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-40n' to each side of the equation.
-4n + -40n = 40n + -40n

Combine like terms: -4n + -40n = -44n
-44n = 40n + -40n

Combine like terms: 40n + -40n = 0
-44n = 0

Divide each side by '-44'.
n = 0

Simplifying
n = 0

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